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Simplifying 2n + 46 = 9n + -10 Reorder the terms: 46 + 2n = 9n + -10 Reorder the terms: 46 + 2n = -10 + 9n Solving 46 + 2n = -10 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 46 + 2n + -9n = -10 + 9n + -9n Combine like terms: 2n + -9n = -7n 46 + -7n = -10 + 9n + -9n Combine like terms: 9n + -9n = 0 46 + -7n = -10 + 0 46 + -7n = -10 Add '-46' to each side of the equation. 46 + -46 + -7n = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -7n = -10 + -46 -7n = -10 + -46 Combine like terms: -10 + -46 = -56 -7n = -56 Divide each side by '-7'. n = 8 Simplifying n = 8

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